Technically I am about to suggest two separate things, but they are so closely related that I figured I just make it one suggestion.
With the introduction of the guild, two things happened. 1. The amount of Dens, and with that the max amount of wolves one can have, got increased. You can now have 650 wolves.
2. The talent tree added two specific talents; decreasing the cost of using Nana (making that feature more interesting) and increasing the rewards when using Nana (making that feature even more interesting).
However, we have also noticed that Nana cannot handle all 650 wolves and their companions being played with in one go. The exact cut off point is 524. Ideally this would be counted as a bug to be fixed, but I can imagine that it is simply too large a load of data being processed in a short amount of time, that the code simply isn't up to it, and a fix might not be so easy. So this forces us as a player to not only manually go about playing with a chuck of companions (which is a lot of effort btw), but also forego the increased rewards you would've gotten through Nana thanks to the talent tree.
So I want to suggest two changes:
1. Allow us to play with all companions within a single den through Nana. It would increase the amount of clicks, yes, but only to a max of 39 (play, confirm, next den x 13), instead of 400 extra clicks to first play with enough companions manually to get below that threshold. I would definitely still leave the play with all button for the entire account available, so that once the amount of playable companions drops to below 524, you can still use that one. But perhaps den-level chunks makes the data Nana needs to process a bit more bearable, and the process for us players as well.
2. Apply the buff in rewards from the talent tree also to manual playing, and not just Nana. Basically, make it just a buff to playing with companions rather than specifically playing through Nana. That way, it doesn't feel like a double punishment to play manually. (This would also help people who do not want to use Nana for lore reasons to enjoy the increased reward buff)